牛顿法

This is readily apparent in that they refer to the Newton's 'Law' of Gravitation whilst Special Relativity and General Relativity are given the polite attribution 'The Theory of' or simply SR 'theory' and GR 'theory.

这是显而易见的，他们指的是牛顿'法'的引力而狭义相对论和一般相对论，获得了和气归属'理论'或干脆简论'，躺着的理论。

Second, quasi-Newton methods are not applicable to all nonlinear optimization problems.

其次，拟牛顿法不能求解所有的非线性优化问题。

Practice and the example presented show that it is one of the most successful solution methods, having better numerical stability.

实践与算例表明，拟牛顿法是目前最成功的算法之一，具有较好的数值稳定性。

Newton method ; iteration ; order of convergence

牛顿法；迭代；收敛阶

The constraints with different linearity in this model are dealt with by an approach that combines successive linearization with piecewise linearization, and in the solving process the security and stability constraints of transmission lines are directly considered to avoid the low-efficiency of both model and solution due to the passive calibration and modifying working constraints in Newton method.

对模型中线性度不同的约束，采用逐次线性化和逐段线性化相结合的方法处理。在求解过程中直接考虑线路安全稳定约束，避免了牛顿法被动校验和变更约束带来的模型和求解的低效性。

Thirdly, the principal curve and polygonal line algorithm are introduced, and an implementation of polygonal line algorithm based on Quasi-Newton numerical optimization is illustrated. The simulation results show that when this algorithm isused in the detection of curvilinear defects on wafer map, it can converge fast, compute accurately and meet the demand of application of defects pattern analysis, and with the number of line segment increasing, the polygonal line will approximate to the Kegl principal curve.

研究了主曲线、多边形线算法，提出用多边形算法识别弧状缺陷想法，讨论了用拟牛顿法实现该算法的解决方案，针对硅片缺点模式分析中常出现的弧状缺陷，采用该算法进行检测分析，实验结果表明这种算法快速准确，当线段个数或最小距离平方期望值达到一定门限值后，多边形线就已经能够描述弧状缺点集的形状，随着线段个数增加，最小距离平方期望值还在不断下降，最终会收敛到Kegl主曲线。

The rheologic and non-Newtonian feature of lubricant that is used for elastic-plastic hydrodynamic lubrication is analyzed, under the condition of high pressure and large shearing strain ratio. The influence factors of oil film thickness and pressure forming during bar drawing are also discussed.

对于有限变形弹塑性有限元中求解非线性方程组的具体方法作了深入的探讨，提出了采用修正牛顿法时可应用过量修正技术加速其收敛效果，为有限变形弹塑性有限元的应用提供了新的计算方法。

Then some efficient algorithms and data structures are put up, including the storage and application of the sparse matrix and the evaluation of the reverse matrix.

使用牛顿法求解该极大熵模型，提出了一些非常有效的数据结构及算法，包括稀疏矩阵的存储与使用以及逆阵的求解等。

Aimed at the problem of choosing the initial value when the Newton method is used to compute the controlling unstable equilibrium point, a practical and rigorous solving scheme was presented: by identifying the controlling load bus of the given fault, and using the Thevenin equivalent circuit to represent the rest of the system at the state of the post disturbance stable equilibrium point, using the steady equivalent circuit to represent the induction motor in composite load, and then using the torque characteristics of induction motor, a point near the CUEP is gained to be the initial value. The second order normal forms was used to approximate the stable manifold of CUEP, and the local approximating boundary of the region of attraction of the post disturbance stable equilibrium point was gained. Then just by simulating the state of the system at the fault clearing time, the transient voltage stability of the system could be determined.

针对采用牛顿法求取故障后系统主导不稳定平衡点(controlling unstable equilibrium point，CUEP)存在的初值选取难题，提出一种实用但不失严谨的解决方案：通过识别给定故障的主导负荷母线，对主导负荷母线以外系统由故障后稳定平衡点处的状态进行戴维南等值，对负荷中感应电动机部分采用其稳态等值电路，再由感应电动机的转矩特性求得CUEP附近的一个点作为近似的CUEP，以此为迭代初值可靠求得CUEP；采用二阶正规型来近似CUEP的稳定流形的方法求得近似的局部吸引域边界；由仿真得到故障清除时刻系统的状态并根据该状态是否位于吸引域内判断系统的暂态电压稳定性。

Polak's result is as strong as any of the contemporaneous global convergence results for either steepest descent or a globalized quasi-Newton method.

Polak的结果和同时期的任何最速下降或全局拟牛顿法的结果一样强。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。